Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes
We study a class of analytic models for a dark matter halo surrounding a Schwarzschild black hole sitting at the center of a galaxy, with a variable inner radius rin at which the density profile of the dark matter halo vanishes. We examine in detail how the three energy conditions are satisfied in s...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-03-01
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| Series: | Physics Letters B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0370269325000607 |
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| author | Zibo Shen Anzhong Wang Shaoyu Yin |
| author_facet | Zibo Shen Anzhong Wang Shaoyu Yin |
| author_sort | Zibo Shen |
| collection | DOAJ |
| description | We study a class of analytic models for a dark matter halo surrounding a Schwarzschild black hole sitting at the center of a galaxy, with a variable inner radius rin at which the density profile of the dark matter halo vanishes. We examine in detail how the three energy conditions are satisfied in such models. In particular, independent of concrete profile, we find that the three energy conditions are satisfied when rin≥5M/2, where M denotes the mass of the black hole. This indicates it is crucial to include inner radius when discussing dark matter distributions. All our solutions expressed explicitly in closed form are particularly valuable for the studies of the gravitational waveforms of extreme/intermediate mass ratio inspirals and the nature of dark matter in galaxies. |
| format | Article |
| id | doaj-art-bb5fbebaaf304fbdb16572f02b4fbb8f |
| institution | Kabale University |
| issn | 0370-2693 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Physics Letters B |
| spelling | doaj-art-bb5fbebaaf304fbdb16572f02b4fbb8f2025-02-08T04:59:29ZengElsevierPhysics Letters B0370-26932025-03-01862139300Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holesZibo Shen0Anzhong Wang1Shaoyu Yin2GCAP-CASPER, Department of Physics and Astronomy, Baylor University, Waco, TX 76798-7316, USA; Department of Physics, University of Wisconsin-Madison, Madison, WI, USAGCAP-CASPER, Department of Physics and Astronomy, Baylor University, Waco, TX 76798-7316, USAInstitute for Theoretical Physics and Cosmology, Zhejiang University of Technology, Hangzhou 310023, China; Corresponding author.We study a class of analytic models for a dark matter halo surrounding a Schwarzschild black hole sitting at the center of a galaxy, with a variable inner radius rin at which the density profile of the dark matter halo vanishes. We examine in detail how the three energy conditions are satisfied in such models. In particular, independent of concrete profile, we find that the three energy conditions are satisfied when rin≥5M/2, where M denotes the mass of the black hole. This indicates it is crucial to include inner radius when discussing dark matter distributions. All our solutions expressed explicitly in closed form are particularly valuable for the studies of the gravitational waveforms of extreme/intermediate mass ratio inspirals and the nature of dark matter in galaxies.http://www.sciencedirect.com/science/article/pii/S0370269325000607 |
| spellingShingle | Zibo Shen Anzhong Wang Shaoyu Yin Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes Physics Letters B |
| title | Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes |
| title_full | Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes |
| title_fullStr | Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes |
| title_full_unstemmed | Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes |
| title_short | Inner radius and energy conditions of dark matter halos surrounding Schwarzschild black holes |
| title_sort | inner radius and energy conditions of dark matter halos surrounding schwarzschild black holes |
| url | http://www.sciencedirect.com/science/article/pii/S0370269325000607 |
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